No. Unless l could get the sensation of music from it in a roundabout way. Il would trade my sight for telepathy. But music is almost all l care about and l can't really live without sound.
As long as I could hear telepathically then yeah ...is that cheating? I can imagine many money making schemes coming from it but also a very quiet world if everybody communicated that way. You may as well give up your voice as well. In fact maybe it should be Voice vs Telepathy
I think I'd keep my hearing. My hearing is really quite acute (possibly because of my terrible eye-vision), and I don't want to give it up.
Think about all the other things you have now that you would have to do without if you didn't have your hearing.
No way! I don't think it would really be worth it for me, because I love music, and I don't really care about what other people think! And if their thoughts are negative they can keep them to themselves.